| 单词 | divisor |
| 例句 | As is common in number theory, the conjecture deals with prime numbers that exactly divide a given number—what mathematicians call prime divisors. $1 Million Will Go to the Mathematician Who Busts the ‘ABC Conjecture’ Theory 2023-07-28T04:00:00Z But to keep things like stock splits and changes in its component stocks from distorting the Dow, its administrators created something called the Dow divisor. Perspective | Why the Dow demolished the S&P 500 this year 2022-12-16T05:00:00Z The rules for multiplication of vectors by scalars are the same for division; simply treat the divisor as a scalar between 0 and 1. College Physics for AP Courses 2015-08-12T00:00:00Z We check division by multiplying the quotient by the divisor and adding the remainder. College Algebra with Corequisite Support 2020-09-23T00:00:00Z Synthetic division only works when the divisor is of the form x − c. Intermediate Algebra 2020-05-06T00:00:00Z We check division by multiplying the quotient by the divisor. Elementary Algebra 2020-04-22T00:00:00Z We can write a polynomial dividend as the product of the divisor and the quotient added to the remainder. Precalculus 2021-12-01T00:00:00Z If the divisor is a factor, then write the factored form. Algebra and Trigonometry 2015-02-13T00:00:00Z Forty-two is also a “practical” number, which means that any integer between 1 and 42 is the sum of a subset of its distinct divisors. For Math Fans: A Hitchhiker’s Guide to the Number 42 2020-09-21T04:00:00Z Multiply that result by the divisor and place the result in the second row under the third coefficient. Intermediate Algebra 2020-05-06T00:00:00Z When the divisor has subtraction sign, we must be extra careful when we multiply the partial quotient and then subtract. Elementary Algebra 2020-04-22T00:00:00Z The S&P will change what is known as the “Dow divisor,” the number it uses to calculate the Dow’s level. Here are 5 takeaways from the Dow index shakeup 2020-08-25T04:00:00Z We can identify the dividend, the divisor, the quotient, and the remainder. Algebra and Trigonometry 2015-02-13T00:00:00Z Any integer can be factored into prime numbers, its ‘divisors’: for example, 60 = 5 x 3 x 2 x 2. Mathematical proof that rocked number theory to be published 2020-04-02T04:00:00Z Multiply that result by the divisor and place the result in the third row under the third coefficient. Intermediate Algebra 2020-05-06T00:00:00Z We write the remainder as a fraction with the divisor as the denominator. Elementary Algebra 2020-04-22T00:00:00Z And a player’s divisor will age at the same rate as his or her points. Changes to the World Amateur Golf Ranking for 2020 will help it better reflect current player form - Golf Digest 2019-11-30T05:00:00Z Also, instead of dividing by 2, as we would in division of whole numbers, then multiplying and subtracting the middle product, we change the sign of the “divisor” to –2, multiply and add. Algebra and Trigonometry 2015-02-13T00:00:00Z One of the biggest factors in determining a golfer's world ranking is something called the minimum divisor. Why Tiger Woods might be ranked No. 1 in the world again sooner than you think - Golf Digest 2019-04-17T04:00:00Z To see this more generally, we realize we can check a division problem by multiplying the quotient times the divisor and add the remainder. Intermediate Algebra 2020-05-06T00:00:00Z Write the remainder as a fraction with the divisor as the denominator. Elementary Algebra 2020-04-22T00:00:00Z Men will use a minimum divisor of eight, while women will use seven. Changes to the World Amateur Golf Ranking for 2020 will help it better reflect current player form - Golf Digest 2019-11-30T05:00:00Z In practice divisors, will have degrees less than or equal to the degree of . Algebra and Trigonometry 2015-02-13T00:00:00Z The system's current minimum divisor is 40, meaning if a player hasn't played at least 40 events in the past two years, his total still will be divided by that number. Why Tiger Woods might be ranked No. 1 in the world again sooner than you think - Golf Digest 2019-04-17T04:00:00Z The −5 is the opposite of the 5 in the divisor. Intermediate Algebra 2020-05-06T00:00:00Z If someone needed to approximate a fraction with a square root in the denominator, it meant doing long division with a five decimal-place divisor. Elementary Algebra 2020-04-22T00:00:00Z The overall level of the Dow does not change when its components do, because the divisor used to calculate the index is adjusted. U.S. corporate breakups could be catalyst to change Dow index 2019-03-22T04:00:00Z We can use the Division Algorithm to write the polynomial as the product of the divisor and the quotient: Algebra and Trigonometry 2015-02-13T00:00:00Z But how would things look if there was no minimum divisor? Why Tiger Woods might be ranked No. 1 in the world again sooner than you think - Golf Digest 2019-04-17T04:00:00Z Multiply that coefficient by the divisor and place the result in the second row under the second coefficient. Intermediate Algebra 2020-05-06T00:00:00Z Make the divisor a whole number by “moving” the decimal point all the way to the right. Elementary Algebra 2020-04-22T00:00:00Z A prime number is a number that has exactly two distinct divisors: itself and 1. Ken Ribet's Favorite Theorem 2018-07-15T04:00:00Z If the divisor is a factor, write the factored form. Algebra and Trigonometry 2015-02-13T00:00:00Z Taking away the minimum divisor of 40 and dividing his points by those eight events instead changes his average points from 1.0942 to 5.47125. Tiger Woods makes another huge jump in the Official World Golf Ranking following runner-up - Golf Digest 2018-03-12T04:00:00Z There is a mathematical explanation for the auditory illusion in my example, sometimes called the missing fundamental: The perceived pitch is the greatest common divisor of the frequencies of the sine waves present. From Music to Mathematics: Exploring the Connections (Review) 2018-02-24T05:00:00Z Make the divisor a whole number by “moving” the decimal point all the way to the right. Elementary Algebra 2020-04-22T00:00:00Z Then there’s the aforementioned divisor, which is set at a minimum of 40 and a maximum of 52. Jon Rahm can jump to No. 1 in the world with a win at Torrey Pines and we've got the math to prove it - Golf Digest 2018-01-23T05:00:00Z Notice that the exponent of the quotient is the difference between the exponents of the divisor and dividend. Algebra and Trigonometry 2015-02-13T00:00:00Z These primes are easier to find than other types, Pace says, because the computer doesn’t need to calculate a number’s divisors to determine whether it’s prime. The largest known prime number has emerged. It has more than 23 million digits. 2018-01-12T05:00:00Z For a refresher, there is a minimum divisor of 40 tournaments over the two-year ranking period, and a maximum divisor of a player’s last 52 tournaments. Lee Westwood, by not playing last week, earns Players Championship invite - Golf Digest 2017-05-02T04:00:00Z But at No. 94 in the world and the bare minimum divisor because of his limited schedule, he still can reach the top 60 by May 22 or by the Monday of the U.S. Stricker denied special exemption to US Open in Wisconsin 2017-04-25T04:00:00Z So the Dow now uses a divisor that is periodically adjusted to keep the average historically consistent, although the measure is still called an “average.” Dow Jones industrial average hit 20,000, but what does that mean? Here's a crash course 2017-01-25T05:00:00Z This tells us that the dividend is divided evenly by the divisor, and that the divisor is a factor of the dividend. Algebra and Trigonometry 2015-02-13T00:00:00Z The Dow divisor was created to allow the average to remain the same when the Dow swapped in one stock for another, or for when one of its components split its stock. The Dow’s climb to 20,000? Whoop de doo. 2016-12-12T05:00:00Z But the mathematicians found that the anti-sameness bias holds for any divisor. Peculiar pattern found in ‘random’ prime numbers 2016-03-13T05:00:00Z It, too, depends upon a divisor that is adjusted for certain capital changes. Built For Marketing: Why The S&P 500 And Dow Are Misleading Investors 2015-05-08T04:00:00Z The divisor is continually adjusted to accommodate structural changes to companies and to maintain continuity. Apple to replace AT&T on Dow Jones 2015-03-06T05:00:00Z We then multiply it by the “divisor” and add, repeating this process column by column, until there are no entries left. Algebra and Trigonometry 2015-02-13T00:00:00Z Groups like the Dozenal Society of America advocate converting to numeral systems based on divisors of 60 because of their comparative ease with fractional computations. Take a Number: 60: Behind Every Second, Millenniums of History 2013-07-08T19:57:09Z Prime numbers are still divisible by themselves and by 1, of course, but they have no other divisors. Deciphering the Strange Mathematics of Cicadas [Video] 2013-05-23T14:15:09.293Z Over time, as stocks were added or existing ones split or otherwise changed their capital structure, the divisor was changed to allow for continuity. Built For Marketing: Why The S&P 500 And Dow Are Misleading Investors 2015-05-08T04:00:00Z The conjecture, first proposed in the 1980s, considers a simple equation of three integers, a + b = c, where the three integers do not share any common divisors other than 1. Possible Breakthrough in Math’s ABC Conjecture 2012-09-17T21:02:03Z The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder. Algebra and Trigonometry 2015-02-13T00:00:00Z For example, if you turned 40 the year after you inherited the IRA, the divisor you would start with is 43.6. Defending Your IRA 2012-07-07T02:24:44Z Experience has shown, however, that form is frequently sacrificed for the unworthy objects referred to above, and it follows, therefore, that either the form should be improved or a heavier divisor laid down. Loss of the Steamship 'Titanic' 2012-04-17T02:00:14.973Z We write the 6 units in the quotient and indicate the division of the remainder, 1 unit, by the divisor 4. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z The number of blocks in the originating wheel being 180, the teeth cut in the master wheel may be 180 or some exact divisor of this number. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z A president who is the greatest common divisor of groups and interests "must always be so careful" that he can never be a Roosevelt or a Wilson. Behind the Mirrors The Psychology of Disintegration at Washington 2012-02-11T03:03:55.693Z If we take the aggregate of the means of subsistence as a dividend, the number of mankind as divisor; then the average share of each is the quotient. Principles of Political Economy, Vol. II 2012-01-25T03:00:34.150Z The combination reduced the Standard & Poor’s 500 Index divisor, a measure of outstanding shares, by 0.6 percent last quarter, the first drop since March 2009. Market Shrinks First Time Since ‘09 on U.S. Buybacks, Offerings 2012-01-17T01:24:10Z Check your result by multiplying the quotient by the divisor. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z The result is that the divisor is now actually a multiplier. Apple: Why It's Not In The Dow 2011-09-20T22:09:55Z The Executive is the greatest common divisor of a diverse society. Behind the Mirrors The Psychology of Disintegration at Washington 2012-02-11T03:03:55.693Z What divisor will give 42⁄7 for a quotient, 66 being the dividend? f. Insanity Its Causes and Prevention 2011-08-29T02:01:05.400Z The divisor increased about 5.3 percent from its 2009 low to last year’s peak in July as the S&P 500 jumped 56 percent. Market Shrinks First Time Since ‘09 on U.S. Buybacks, Offerings 2012-01-17T01:24:10Z In a correct result, the number of decimal places in the divisor and quotient together equals the number of decimal places in the dividend. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z The videos were each about 10 minutes long and contained two elements: his blackboard-style diagrams—Khan happens to be an excellent sketcher—and his voice-over explaining things like greatest common divisors and equivalent fractions. Sal Khan: The Messiah of Math 2011-05-19T21:00:00Z The greatest common divisor of all the minorities that go to making a winning national combination must be neutral, he must be colorless, he must not know that his soul is his own. Behind the Mirrors The Psychology of Disintegration at Washington 2012-02-11T03:03:55.693Z Eventually you have whatever power of 2 you might wish as a divisor of all 4 numbers. Wordplay: Numberplay: The Danger of Praise 2011-05-20T17:22:12Z The S&P 500’s divisor, which changes as shares are added or removed from index companies, fell almost 6 percent in the period as the S&P 500’s price rose 21 percent. Market Shrinks First Time Since ‘09 on U.S. Buybacks, Offerings 2012-01-17T01:24:10Z Check your result for No. 2 by multiplying the quotient by the divisor. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z D. Rees, in a paper published adjacent to Good's, solved the problem by considering certain divisors of polynomials of the type Xm � 1. The Mathematician as an Explorer 2011-05-04T13:15:00.247Z The greatest common divisor of all the elements in the nation's political consciousness today is inevitably a Mr. Harding. Behind the Mirrors The Psychology of Disintegration at Washington 2012-02-11T03:03:55.693Z The number to be divided is the dividend, the number which divides is the divisor, and the result of the division is the quotient. The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z In long division the divisor is put on the left of the dividend, and the quotient on the right; and each partial product, with the remainder after its subtraction, is shown in full. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" Check each quotient by multiplying it by the divisor. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z Then multiply the number of the yarn desired by the hank roving, using that for a divisor; that product divided will tell the draught change gear that is required. Instruction book on ring spinning And when this greatest common divisor of all the classes and all the interests, this neutral, colorless person to whom no one can find any objection, enters the White House does he represent Labor? Behind the Mirrors The Psychology of Disintegration at Washington 2012-02-11T03:03:55.693Z Division was accomplished by multiplying the divisor until the dividend was reached; the answer being the number of times the divisor was so multiplied. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 1 "Edwardes" to "Ehrenbreitstein" In short division the divisor and the quotient are placed respectively on the left of and below the dividend, and the partial products and remainders are not shown at all. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" The reader probably never has had occasion to compute a greatest common divisor since he left school. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z In order to save space in printing, the dividend was placed to the left and the divisor to the right, and a dot was written in the place of each. The Scrap Book, Volume 1, No. 3 May 1906 They could face a common enemy and remain united, but in the presence of food, they forgot that unity and scattered—hunger was the great divisor. Student Body What'll he do wid the greatest common divisor an' the indicative mood an' the Sea of Azov, an' the Zambezi River, when he's learned 'em, anyhow? The Price of the Prairie A Story of Kansas When mixed with a divisor, such manures are diluted, made less active, and consequently less injurious. The Elements of Agriculture A Book for Young Farmers, with Questions Prepared for the Use of Schools It would not be possible to find a common mental or moral divisor for the members of Parliament in the aggregate, and an equal number of Norfolk fishermen or Cornish miners. The Twentieth Century American Being a Comparative Study of the Peoples of the Two Great Anglo-Saxon Nations In arithmetic operations it holds the addend, subtrahend, multiplicand, or divisor. Preliminary Specifications: Programmed Data Processor Model Three (PDP-3) October, 1960 “Boiled down,” stated Bobby Hargrew, “to its last common divisor, it is ‘Where, oh, where shall we spend our vacation?’” The Girls of Central High in Camp Or, the Old Professor's Secret Sixty may be divided by any divisor of ten or twelve. A History of Art in Chaldæa & Assyria, v. 1 Nobody in the world knows yet whether that number has a divisor or not. The Canterbury Puzzles And Other Curious Problems The line dividing it from vulgarity was becoming so thin I was losing sight of the divisor. The Crack of Doom He ascertained that the one thousand, four hundred and fortieth part of a Spanish dollar was a common divisor for the various currencies. Washington and the American Republic, Vol. 3. Now, into the familiar sum of existence, which he knew from divisor to quotient, was suddenly shot a new factor—a woman. Desert Conquest or, Precious Waters Division was either done directly or by means of differences between the divisor and the next higher multiple of ten to the divisor. The Earliest Arithmetics in English This puzzle amounts to finding the smallest possible number that has exactly sixty-four divisors, counting 1 and the number itself as divisors. The Canterbury Puzzles And Other Curious Problems Similar fractions may be formed with other numbers by placing the particle per between the dividend and the divisor. A Manual of the Malay language With an Introductory Sketch of the Sanskrit Element in Malay Common multiples and least and greatest common divisors had such a way of getting mixed up in her brain, that he felt very sorry for her. A Little Girl in Old Boston Here we have again the Babylonian sexagesimal system, a system which owes its origin and popularity, I believe, to the fact that sixty has the greatest number of divisors. India: What can it teach us? A Course of Lectures Delivered before the University Of Cambridge Consequently, the smallest divisor that will serve the purpose is always preferred. The Atlantic Monthly, Volume 05, No. 28, February, 1860 Thus in the case of my puzzle— 7,560 = 23 × 33 × 5 × 7 Powers = 3 3 1 1 Therefore 4 × 4 × 2 × 2 = 64 divisors. The Canterbury Puzzles And Other Curious Problems The dividend is set up at the windows and the divisor at the buttons. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary" Multiply the quotient by the divisor to see if the result is equal to the dividend. Ontario Normal School Manuals: Science of Education Some however I have met with who, in arithmetic, could multiply and divide, by a single multiplier or divisor, several places of figures. The History of Sumatra Containing An Account Of The Government, Laws, Customs And Manners Of The Native Inhabitants For division by two produces a half at one operation; but with any other divisor, the reduction is too great, and must be followed by multiplication. The Atlantic Monthly, Volume 05, No. 28, February, 1860 To find the smallest number that has a given number of divisors we must proceed by trial. The Canterbury Puzzles And Other Curious Problems Each turn of the handle subtracts the divisor once. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary" On trial we find that this is such a divisor. Amusements in Mathematics If its last figure is an even number, multiply the whole by 5, and treat the product as a divisor. Scientific American Supplement, No. 421, January 26, 1884 Which is the larger, the divisor or the quotient? McGuffey's Eclectic Spelling Book But it is important sometimes to note whether or not the condition is that there shall be a given number of divisors and no more. The Canterbury Puzzles And Other Curious Problems Any multiple or divisor of 100 may be used for the base, if the tabular number be similarly multiplied. The Art of Travel Shifts and Contrivances Available in Wild Countries Therefore, 179 is the divisor we want, which always leaves a remainder 164 in the case of the original numbers given. Amusements in Mathematics From the prepared divisor cut off the last figure: and, if this be a 9, change it to a 1, or if it be a 1, change it to a 9; otherwise keep it unchanged. Scientific American Supplement, No. 421, January 26, 1884 The following is the rule to find the counter for any regular satin: Divide the number of harness into two parts, which must neither be equal nor have a common divisor. Theory of Silk Weaving A Treatise on the Construction and Application of Weaves, and the Decomposition and Calculation of Broad and Narrow, Plain, Novelty and Jacquard Silk Fabrics For example, the smallest number that has seven divisors and no more is 64, while 24 has eight divisors, and might equally fulfil the conditions. The Canterbury Puzzles And Other Curious Problems On November 4th he wrote:— Completed a rule for dividing a given number by any divisor that is within 10 of a power of 10, either way. The Life and Letters of Lewis Carroll (Rev. C. L. Dodgson) Look at your remainder closely; take the first figures of divisor and remainder—nine in thirty-one, how many times? Tip Lewis and His Lamp Multiply the extraneous multiplier into the divisor thus truncated, and increase the product by 1, unless the extraneous multiplier be 7, when increase the product by 5. Scientific American Supplement, No. 421, January 26, 1884 The number of votes obtained by each of the lists is divided by the "common divisor" thus:— 8,000 divided by 3,750 = 2 with a remainder of 500. Proportional Representation A Study in Methods of Election The stipulation as to "no more" was not necessary in the case of my puzzle, for no smaller number has more than sixty-four divisors. The Canterbury Puzzles And Other Curious Problems The principle of it is not my discovery, but was sent me by Bertram Collingwood—a rule for dividing by a divisor which is within 10 of a power of 10, below it. The Life and Letters of Lewis Carroll (Rev. C. L. Dodgson) For iron the rule is the same, only the divisor was 57.6 instead of 24. A Catechism of the Steam Engine Dropping the O, we have 73 for the prepared divisor. Scientific American Supplement, No. 421, January 26, 1884 Leaves 17 to 25 are tables of the divisors of odd numbers up to 20,300. Thomas Hariot, the Mathematician, the Philosopher and the Scholar The only number composed only of ones that we know with certainty to have no divisor is 11. The Canterbury Puzzles And Other Curious Problems Time is a mortal thought, the divisor of which 599:1 is the solar year. Science and Health, with Key to the Scriptures By using these as divisors into an American, Afro-European, Oriental, Arctic and Antarctic realm, most of which were limited by an eastern and western land-boundary, he arrived at about threescore provinces. Darwin and Modern Science The last figure of the prepared divisor being 3, this is the extraneous multiplier. Scientific American Supplement, No. 421, January 26, 1884 Every divisor is a gift of God, and corresponds to the months of the year and to the revolution of the universe. Laws The divisor, since it ends in 5, must be multiplied by 2, giving 730. Scientific American Supplement, No. 421, January 26, 1884 Multiplying the truncated divisor, 7, by the extraneous multiplier, 3, and adding 1, we have 22 for the current multiplier. Scientific American Supplement, No. 421, January 26, 1884 The ordinary process of long division is rather difficult, owing to the necessity of guessing at the successive figures which form the divisor. Scientific American Supplement, No. 421, January 26, 1884 The dividend, 1883, has now to be multiplied by the product of 3, the extraneous multiplier, and 2, the multiplier used in preparing the divisor. Scientific American Supplement, No. 421, January 26, 1884 Subtract the first infinite number from the second, and shift the decimal point as many places to the left as there were zeros dropped in the process of obtaining the prepared divisor. Scientific American Supplement, No. 421, January 26, 1884 Treat the divisor as follows: If its last figure is a 0, strike this off, and treat what is left as the divisor. Scientific American Supplement, No. 421, January 26, 1884 If its last figure is a 5, multiply the whole by 2, and treat the product as the divisor. Scientific American Supplement, No. 421, January 26, 1884 Multiply together the extraneous multiplier and all the multipliers used in the process of obtaining the prepared divisor. Scientific American Supplement, No. 421, January 26, 1884 |
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